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Finding the Fourth Proportional to 8,903.84, 12,283.92 and 5,586.08

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Solution

The fourth proportional to 8,903.84, 12,283.92 and 5,586.08 is: 7,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,903.84 : 12,283.92 = 5,586.08 : x
  2. Step 2: Convert to fraction form
    8,903.84/12,283.92 = 5,586.08/x
  3. Step 3: Cross multiply
    8,903.84x = 12,283.92 × 5,586.08
  4. Step 4: Simplify right side
    8,903.84x = 68,618,959.83
  5. Step 5: Solve for x
    x = 68,618,959.83/8,903.84
  6. Step 6: Final answer
    x = 7,706.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.